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5166445104 = 2432236472411
BaseRepresentation
bin1001100111111000…
…11011001000110000
3111100001120121022200
410303330123020300
541040102220404
62212354503200
7242013026112
oct46374331060
914301517280
105166445104
112211361747
121002294b00
13644497b12
1437022b3b2
15203883839
hex133f1b230

5166445104 has 120 divisors (see below), whose sum is σ = 15117103872. Its totient is φ = 1644044160.

The previous prime is 5166445093. The next prime is 5166445117. The reversal of 5166445104 is 4015446615.

5166445104 is a `hidden beast` number, since 5 + 1 + 6 + 644 + 5 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2141659 + ... + 2144069.

Almost surely, 25166445104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5166445104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558551936).

5166445104 is an abundant number, since it is smaller than the sum of its proper divisors (9950658768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5166445104 is a wasteful number, since it uses less digits than its factorization.

5166445104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5166445104 is about 71877.9876179071. The cubic root of 5166445104 is about 1728.7436838795.

The spelling of 5166445104 in words is "five billion, one hundred sixty-six million, four hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 647 828 1104 1294 1656 1941 2411 2588 3312 3882 4822 5176 5823 7233 7764 9644 10352 11646 14466 14881 15528 19288 21699 23292 28932 29762 31056 38576 43398 44643 46584 55453 57864 59524 86796 89286 93168 110906 115728 119048 133929 166359 173592 178572 221812 238096 267858 332718 347184 357144 443624 499077 535716 665436 714288 887248 998154 1071432 1330872 1559917 1996308 2142864 2661744 3119834 3992616 4679751 6239668 7985232 9359502 12479336 14039253 18719004 24958672 28078506 35878091 37438008 56157012 71756182 74876016 107634273 112314024 143512364 215268546 224628048 287024728 322902819 430537092 574049456 645805638 861074184 1291611276 1722148368 2583222552 5166445104